Physics

If the force is given by $$ F$$ = $$at+bt^2$$ with $$ t $$ as time. The dimensions of a and b are:


ANSWER

$$[MLT^{-3}], [MLT^{-4}]$$


SOLUTION
Dimension of force F : $$[MLT^{-2}]$$
$$F=at+bt^2$$
$$\implies $$ Dimension of $$a:[MLT^{-2}]\times [T^{-1}]$$$$=[MLT^{-3}]$$
Dimensions of $$b:[MLT^{-2}]\times [T^{-2}]$$$$=[MLT^{-4}]$$
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Single Correct Medium Published on 18th 08, 2020
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